(Slightly modified McQuarrie 5-41) Many quantum vibrational states are available to molecules. This raises the question: In what vibrational states are molecules actually found? Using sta- tistical mechanics, one can show (see McQuarrie 5-40 if you are interested) that the fraction of molecules in the n-th state is given by: fn = (1-e-hv/kBT) e -nhv/kBT = where kB is the Boltzmann constant, k 1.380658 × 10-23 J/K. Compute the occupancy of the n=0, 1 and 2 states at 300 K and 1500 K for a "typical" harmonic frequency, we cm. For practical purposes, what vibrational state is a typical molecule found in? = 2650
(Slightly modified McQuarrie 5-41) Many quantum vibrational states are available to molecules. This raises the question: In what vibrational states are molecules actually found? Using sta- tistical mechanics, one can show (see McQuarrie 5-40 if you are interested) that the fraction of molecules in the n-th state is given by: fn = (1-e-hv/kBT) e -nhv/kBT = where kB is the Boltzmann constant, k 1.380658 × 10-23 J/K. Compute the occupancy of the n=0, 1 and 2 states at 300 K and 1500 K for a "typical" harmonic frequency, we cm. For practical purposes, what vibrational state is a typical molecule found in? = 2650
Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter14: Rotational And Vibrational Spectroscopy
Section: Chapter Questions
Problem 14.46E: Determine the number of total degrees of freedom and the number of vibrational degrees of freedom...
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![(Slightly modified McQuarrie 5-41) Many quantum vibrational states are available to molecules.
This raises the question: In what vibrational states are molecules actually found? Using sta-
tistical mechanics, one can show (see McQuarrie 5-40 if you are interested) that the fraction
of molecules in the n-th state is given by:
fn = (1-e-hv/kBT) e -nhv/kBT
=
where kB is the Boltzmann constant, k 1.380658 × 10-23 J/K. Compute the occupancy of
the n=0, 1 and 2 states at 300 K and 1500 K for a "typical" harmonic frequency, we
cm. For practical purposes, what vibrational state is a typical molecule found in?
= 2650](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d378848-bcd2-4fca-91fb-9e70c50f07a7%2F88bd69a2-465f-43d0-8c22-5a6ae62b9fe8%2Fafjjay_processed.png&w=3840&q=75)
Transcribed Image Text:(Slightly modified McQuarrie 5-41) Many quantum vibrational states are available to molecules.
This raises the question: In what vibrational states are molecules actually found? Using sta-
tistical mechanics, one can show (see McQuarrie 5-40 if you are interested) that the fraction
of molecules in the n-th state is given by:
fn = (1-e-hv/kBT) e -nhv/kBT
=
where kB is the Boltzmann constant, k 1.380658 × 10-23 J/K. Compute the occupancy of
the n=0, 1 and 2 states at 300 K and 1500 K for a "typical" harmonic frequency, we
cm. For practical purposes, what vibrational state is a typical molecule found in?
= 2650
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